{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "MovieWriter ffmpeg unavailable; trying to use <class 'matplotlib.animation.PillowWriter'> instead.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 792x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from matplotlib import cm\n",
    "import numpy as np\n",
    "from celluloid import Camera\n",
    "sns.set()\n",
    "numpoints = 10\n",
    "x=0\n",
    "y=1000\n",
    "points = np.array([[x],[y]])\n",
    "colors = np.array(['red'])\n",
    "sizes = np.array([50])\n",
    "camera = Camera(plt.figure(figsize=(11,7)))\n",
    "plt.xlim(-5,65)\n",
    "plt.title('ETH-USDT',fontsize=20)\n",
    "plt.xlabel('Days',fontsize=20)\n",
    "plt.ylabel('USDT',fontsize=20)\n",
    "from celluloid import Camera\n",
    "for i in range(50):\n",
    "    x=x+1\n",
    "    y=y+np.random.uniform(-15,25)\n",
    "    decission=np.random.uniform(0.3,0.7)\n",
    "    if decission < 0.4:\n",
    "        sizes=np.append(sizes,50)\n",
    "        colors=np.append(colors,'red')\n",
    "        annotation = plt.annotate(\"P(s) = \"+str(decission)[0:4]+\" NO\", xy=(x, y), weight=\"bold\", size=20)\n",
    "        y=y+15\n",
    "    elif decission < 0.5:\n",
    "        sizes=np.append(sizes,80)        \n",
    "        colors=np.append(colors,'orange')\n",
    "        annotation = plt.annotate(\"P(s) = \"+str(decission)[0:4]+\" Don't\", xy=(x, y), weight=\"bold\", size=20)\n",
    "        y=y+8\n",
    "    elif decission < 0.6:\n",
    "        sizes=np.append(sizes,110)\n",
    "        colors=np.append(colors,'yellow')\n",
    "        annotation = plt.annotate(\"P(s) = \"+str(decission)[0:4]+\" Could be\", xy=(x, y), weight=\"bold\", size=20)\n",
    "        y=y-9\n",
    "    else :\n",
    "        sizes=np.append(sizes,150)\n",
    "        colors=np.append(colors,'springgreen')\n",
    "        annotation = plt.annotate(\"P(s) = \"+str(decission)[0:4]+\" Go on!\", xy=(x, y), weight=\"bold\", size=20)\n",
    "        y=y-14\n",
    "    points=np.append(points,np.array([[x],[y]]),axis=1)\n",
    "    plt.scatter(*points, c=colors, s=sizes)\n",
    "    plt.plot(points[0],points[1],color='blue',lw=1.5)\n",
    "    camera.snap()\n",
    "anim = camera.animate(blit=True,interval=300)\n",
    "anim.save('scatter.gif')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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